login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A003770 Number of 2-factors in K_4 X P_n. 0
3, 42, 474, 5514, 63942, 741786, 8605014, 99822138, 1157982198, 13433121114, 155830324182, 1807702748538, 20970175374006, 243263587212186, 2821968429343638, 32736119315989434 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.

LINKS

Table of n, a(n) for n=1..16.

F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Preliminary version of paper that appeared in Ars Combin. 49 (1998), 129-154.

F. Faase, Counting Hamilton cycles in product graphs

F. Faase, Results from the counting program

FORMULA

a(n) = 11a(n-1) + 8a(n-2) - 12a(n-3), n>3.

G.f.: 3x(4x+1)(1-x)/(1-11x-8x^2+12x^3). [From R. J. Mathar, Dec 16 2008]

CROSSREFS

Sequence in context: A084512 A084522 A160874 * A173936 A219619 A097068

Adjacent sequences:  A003767 A003768 A003769 * A003771 A003772 A003773

KEYWORD

nonn

AUTHOR

Frans J. Faase

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 18 01:20 EST 2018. Contains 317279 sequences. (Running on oeis4.)